Pump power 10kW. How much water can this pump lift to the surface of the earth from a depth of 18 m for 30 minutes?

Task data: N (power of the pump used) = 10 kW (10 * 103 W); h (depth from which the water rises) = 18 m; t (pump operation time) = 30 min (in SI t = 1800 s).

Reference values: g (acceleration due to gravity) ≈ 10 m / s2.

We express the mass of the water raised by the pump used from the formula: Nн = A / t = ΔЕп / t = m * g * h / t, whence m = Nн * t / (g * h).

Let’s calculate: m = 10 * 103 * 1800 / (10 * 18) = 100 * 103 kg (100 tons).

Answer: The pump will lift 100 tons of water in 30 minutes.